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==An example==
{{Tenn_voting_example}}
Imagine an election to choose the capital of [[Tennessee]], a state in the United States that is over 500 miles east-to-west, and only 110 miles north-to-south. Let's say the candidates for the capital are Memphis (on the far west end), Nashville (in the center), Chattanooga (129 miles southeast of Nashville), and Knoxville (on the far east side, 114 miles northeast of Chattanooga). Here's the population breakdown by metro area (surrounding county):
<div style="float:right; padding:2px; text-align:center">
[[Image:CondorcetTennesee.png]]</div>
* Memphis (Shelby County): 826,330
* Nashville (Davidson County): 510,784
* Chattanooga (Hamilton County): 285,536
* Knoxville (Knox County): 335,749
Let's say that in the vote, the voters vote based on geographic proximity. Assuming that the population distribution of the rest of Tennessee follows from those population centers, one could easily envision an election where the percentages of sincere preferences would be as follows:
<table border=1>
<tr>
<td>
'''Group A: 42% of voters <br>(close to Memphis)'''<br>
1. Memphis<br>
2. Nashville<br>
3. Chattanooga<br>
4. Knoxville
</td>
<td valign="top">
'''Group B: 26% of voters <br>(close to Nashville)'''<br>
1. Nashville<br>
2. Chattanooga<br>
3. Knoxville<br>
4. Memphis
</td>
<td>
'''Group C: 15% of voters <br>(close to Chattanooga)'''<br>
1. Chattanooga<br>
2. Knoxville<br>
3. Nashville<br>
4. Memphis
</td>
<td>
'''Group D: 17% of voters <br>(close to Knoxville)'''<br>
1. Knoxville<br>
2. Chattanooga<br>
3. Nashville<br>
4. Memphis
</td>
</tr>
</table>
Assuming all of the voters vote sincerely (strategic voting is discussed below), the results would be as follows, by percentage:
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